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3 years ago

9

And archaeologist fines 30 fossils in South Dakota and Wyoming. 40% of the fossils were in South Dakota. How many fossils were f

ound in Wyoming?

1 answer:

Harrizon [31]3 years ago

3 0

Answer:

It is 12. 12 fossils were found in Wyoming.

Step-by-step explanation:

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A car is driving at a speed of 60mi/h. What is the speed of the car in feet per minute

swat32

There are 5820 ft per mile

so the answer is 5820ft/min

Hope this helps!

6 0

3 years ago

Read 2 more answers

A tank contains 1600 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 2 L/min, and

goldfiish [28.3K]

Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of

(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min

and flows out at a rate of

(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min

Then the net flow rate is governed by the differential equation

$\dfrac{\mathrm dS(t)}{\mathrm dt}=\dfrac8{100}-\dfrac{S(t)}{800}$

Solve for S(t):

$\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{S(t)}{800}=\dfrac8{100}$

$e^{t/800}\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{e^{t/800}}{800}S(t)=\dfrac8{100}e^{t/800}$

The left side is the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}$

Integrate both sides:

$e^{t/800}S(t)=\displaystyle\frac8{100}\int e^{t/800}\,\mathrm dt$

$e^{t/800}S(t)=64e^{t/800}+C$

$S(t)=64+Ce^{-t/800}$

There's no sugar in the water at the start, so (a) S(0) = 0, which gives

$0=64+C\impleis C=-64$

and so (b) the amount of sugar in the tank at time t is

$S(t)=64\left(1-e^{-t/800}\right)$

As $t\to\infty$ , the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.

7 0

3 years ago

Devon writes a number pattern. He starts with 3 and follows the rule “multiply by

Fed [463]

Answer:

3,6,12,24.48,96,192

Step-by-step explanation:

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2 years ago

Please help me! I'm terrible at math

Hatshy [7]

Answer:

(3.) x = 45

Step-by-step explanation:

Because the lines are parallel and cut by the same line, the angles within are equal as well.

Which means that...

Angle GE = Angle EFD

Therefore (2x-30) = (x + 15)

2x - 30 = x + 15

+30 +30 (add 30 to both sides to get rid of the -30)

2x = x + 45

-x -x (subtract x from both sides to get rid of the single positive x)

x = 45

3 0

3 years ago

Which choice answer is it

fomenos

Answer:

choice 1

Step-by-step explanation:

Given

V = πr²h ( isolate r² by dividing both sides by πh )

$\frac{V}{\pi h}$ = r² ( take the square root of both sides )

$\sqrt{\frac{V}{\pi h} }$ = r ← the positive value of r

6 0

3 years ago